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Finding the Third Proportional to 2,351,970 and 3,312,198

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Solution

The third proportional to 2,351,970 and 3,312,198 is: 4,664,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,970 : 3,312,198 = 3,312,198 : x
  2. Step 2: Convert to fraction form
    2,351,970/3,312,198 = 3,312,198/x
  3. Step 3: Cross multiply
    2,351,970x = 3,312,198 × 3,312,198
  4. Step 4: Simplify right side
    2,351,970x = 10,970,655,591,204
  5. Step 5: Solve for x
    x = 10,970,655,591,204/2,351,970
  6. Step 6: Final answer
    x = 4,664,453.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.